Properties

Label 177.2.e.a.22.3
Level $177$
Weight $2$
Character 177.22
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 22.3
Character \(\chi\) \(=\) 177.22
Dual form 177.2.e.a.169.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0194566 + 0.118680i) q^{2} +(0.267528 + 0.963550i) q^{3} +(1.88160 - 0.633985i) q^{4} +(-1.57830 + 2.32782i) q^{5} +(-0.109149 + 0.0504978i) q^{6} +(1.03804 + 0.228489i) q^{7} +(0.224517 + 0.423484i) q^{8} +(-0.856857 + 0.515554i) q^{9} +O(q^{10})\) \(q+(0.0194566 + 0.118680i) q^{2} +(0.267528 + 0.963550i) q^{3} +(1.88160 - 0.633985i) q^{4} +(-1.57830 + 2.32782i) q^{5} +(-0.109149 + 0.0504978i) q^{6} +(1.03804 + 0.228489i) q^{7} +(0.224517 + 0.423484i) q^{8} +(-0.856857 + 0.515554i) q^{9} +(-0.306975 - 0.142022i) q^{10} +(-0.225850 - 0.171686i) q^{11} +(1.11426 + 1.64341i) q^{12} +(0.273946 + 0.164828i) q^{13} +(-0.00692045 + 0.127640i) q^{14} +(-2.66521 - 0.898015i) q^{15} +(3.11545 - 2.36831i) q^{16} +(0.728335 - 0.160319i) q^{17} +(-0.0778576 - 0.0916611i) q^{18} +(-2.09873 - 0.228251i) q^{19} +(-1.49393 + 5.38065i) q^{20} +(0.0575435 + 1.06133i) q^{21} +(0.0159815 - 0.0301443i) q^{22} +(4.27803 - 5.03649i) q^{23} +(-0.347983 + 0.329627i) q^{24} +(-1.07703 - 2.70313i) q^{25} +(-0.0142318 + 0.0357190i) q^{26} +(-0.725995 - 0.687699i) q^{27} +(2.09803 - 0.228174i) q^{28} +(0.142643 - 0.870082i) q^{29} +(0.0547206 - 0.333781i) q^{30} +(-8.02640 + 0.872924i) q^{31} +(1.03765 + 0.982918i) q^{32} +(0.105007 - 0.263548i) q^{33} +(0.0331976 + 0.0833198i) q^{34} +(-2.17022 + 2.05574i) q^{35} +(-1.28541 + 1.51330i) q^{36} +(2.76542 - 5.21613i) q^{37} +(-0.0137454 - 0.253519i) q^{38} +(-0.0855316 + 0.308057i) q^{39} +(-1.34015 - 0.145750i) q^{40} +(-5.00140 - 5.88810i) q^{41} +(-0.124839 + 0.0274792i) q^{42} +(7.12566 - 5.41679i) q^{43} +(-0.533805 - 0.179860i) q^{44} +(0.152262 - 2.80831i) q^{45} +(0.680968 + 0.409725i) q^{46} +(-4.51510 - 6.65928i) q^{47} +(3.11545 + 2.36831i) q^{48} +(-5.32771 - 2.46486i) q^{49} +(0.299853 - 0.180416i) q^{50} +(0.349325 + 0.658898i) q^{51} +(0.619956 + 0.136463i) q^{52} +(-7.81654 + 3.61631i) q^{53} +(0.0674909 - 0.0995417i) q^{54} +(0.756115 - 0.254765i) q^{55} +(0.136295 + 0.490892i) q^{56} +(-0.341539 - 2.08330i) q^{57} +0.106037 q^{58} +(4.51570 + 6.21357i) q^{59} -5.58419 q^{60} +(-0.0621600 - 0.379159i) q^{61} +(-0.259766 - 0.935591i) q^{62} +(-1.00725 + 0.339381i) q^{63} +(4.29587 - 6.33593i) q^{64} +(-0.816060 + 0.377550i) q^{65} +(0.0333211 + 0.00733453i) q^{66} +(5.29398 + 9.98550i) q^{67} +(1.26880 - 0.763409i) q^{68} +(5.99740 + 2.77469i) q^{69} +(-0.286201 - 0.217564i) q^{70} +(3.19809 + 4.71682i) q^{71} +(-0.410708 - 0.247115i) q^{72} +(-0.658706 + 12.1491i) q^{73} +(0.672857 + 0.226712i) q^{74} +(2.31647 - 1.76093i) q^{75} +(-4.09368 + 0.901088i) q^{76} +(-0.195212 - 0.229821i) q^{77} +(-0.0382244 - 0.00415716i) q^{78} +(-2.62025 + 9.43729i) q^{79} +(0.595867 + 10.9901i) q^{80} +(0.468408 - 0.883512i) q^{81} +(0.601491 - 0.708130i) q^{82} +(5.69650 - 5.39601i) q^{83} +(0.781140 + 1.96051i) q^{84} +(-0.776340 + 1.94847i) q^{85} +(0.781508 + 0.740283i) q^{86} +(0.876528 - 0.0953282i) q^{87} +(0.0219994 - 0.134190i) q^{88} +(-0.335332 + 2.04543i) q^{89} +(0.336254 - 0.0365698i) q^{90} +(0.246705 + 0.233691i) q^{91} +(4.85649 - 12.1889i) q^{92} +(-2.98840 - 7.50031i) q^{93} +(0.702477 - 0.665421i) q^{94} +(3.84376 - 4.52523i) q^{95} +(-0.669489 + 1.26279i) q^{96} +(-0.218567 - 4.03122i) q^{97} +(0.188871 - 0.680252i) q^{98} +(0.282035 + 0.0306731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{13}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0194566 + 0.118680i 0.0137579 + 0.0839196i 0.992813 0.119676i \(-0.0381855\pi\)
−0.979055 + 0.203595i \(0.934737\pi\)
\(3\) 0.267528 + 0.963550i 0.154458 + 0.556306i
\(4\) 1.88160 0.633985i 0.940800 0.316992i
\(5\) −1.57830 + 2.32782i −0.705838 + 1.04103i 0.290611 + 0.956841i \(0.406141\pi\)
−0.996450 + 0.0841926i \(0.973169\pi\)
\(6\) −0.109149 + 0.0504978i −0.0445600 + 0.0206156i
\(7\) 1.03804 + 0.228489i 0.392341 + 0.0863608i 0.406760 0.913535i \(-0.366659\pi\)
−0.0144184 + 0.999896i \(0.504590\pi\)
\(8\) 0.224517 + 0.423484i 0.0793787 + 0.149724i
\(9\) −0.856857 + 0.515554i −0.285619 + 0.171851i
\(10\) −0.306975 0.142022i −0.0970740 0.0449112i
\(11\) −0.225850 0.171686i −0.0680962 0.0517654i 0.570572 0.821247i \(-0.306721\pi\)
−0.638669 + 0.769482i \(0.720515\pi\)
\(12\) 1.11426 + 1.64341i 0.321658 + 0.474411i
\(13\) 0.273946 + 0.164828i 0.0759790 + 0.0457150i 0.553036 0.833157i \(-0.313469\pi\)
−0.477057 + 0.878872i \(0.658297\pi\)
\(14\) −0.00692045 + 0.127640i −0.00184957 + 0.0341133i
\(15\) −2.66521 0.898015i −0.688155 0.231867i
\(16\) 3.11545 2.36831i 0.778863 0.592076i
\(17\) 0.728335 0.160319i 0.176647 0.0388830i −0.125766 0.992060i \(-0.540139\pi\)
0.302413 + 0.953177i \(0.402208\pi\)
\(18\) −0.0778576 0.0916611i −0.0183512 0.0216047i
\(19\) −2.09873 0.228251i −0.481482 0.0523644i −0.135840 0.990731i \(-0.543373\pi\)
−0.345642 + 0.938366i \(0.612339\pi\)
\(20\) −1.49393 + 5.38065i −0.334053 + 1.20315i
\(21\) 0.0575435 + 1.06133i 0.0125570 + 0.231601i
\(22\) 0.0159815 0.0301443i 0.00340727 0.00642680i
\(23\) 4.27803 5.03649i 0.892031 1.05018i −0.106407 0.994323i \(-0.533935\pi\)
0.998439 0.0558580i \(-0.0177894\pi\)
\(24\) −0.347983 + 0.329627i −0.0710318 + 0.0672849i
\(25\) −1.07703 2.70313i −0.215405 0.540627i
\(26\) −0.0142318 + 0.0357190i −0.00279108 + 0.00700507i
\(27\) −0.725995 0.687699i −0.139718 0.132348i
\(28\) 2.09803 0.228174i 0.396490 0.0431209i
\(29\) 0.142643 0.870082i 0.0264881 0.161570i −0.970270 0.242024i \(-0.922189\pi\)
0.996758 + 0.0804539i \(0.0256370\pi\)
\(30\) 0.0547206 0.333781i 0.00999056 0.0609397i
\(31\) −8.02640 + 0.872924i −1.44158 + 0.156782i −0.795254 0.606276i \(-0.792663\pi\)
−0.646330 + 0.763058i \(0.723697\pi\)
\(32\) 1.03765 + 0.982918i 0.183433 + 0.173757i
\(33\) 0.105007 0.263548i 0.0182794 0.0458779i
\(34\) 0.0331976 + 0.0833198i 0.00569335 + 0.0142892i
\(35\) −2.17022 + 2.05574i −0.366834 + 0.347484i
\(36\) −1.28541 + 1.51330i −0.214235 + 0.252217i
\(37\) 2.76542 5.21613i 0.454632 0.857526i −0.545184 0.838316i \(-0.683540\pi\)
0.999815 0.0192097i \(-0.00611501\pi\)
\(38\) −0.0137454 0.253519i −0.00222980 0.0411262i
\(39\) −0.0855316 + 0.308057i −0.0136960 + 0.0493286i
\(40\) −1.34015 0.145750i −0.211897 0.0230451i
\(41\) −5.00140 5.88810i −0.781087 0.919567i 0.217314 0.976102i \(-0.430271\pi\)
−0.998401 + 0.0565351i \(0.981995\pi\)
\(42\) −0.124839 + 0.0274792i −0.0192631 + 0.00424013i
\(43\) 7.12566 5.41679i 1.08665 0.826053i 0.101009 0.994886i \(-0.467793\pi\)
0.985645 + 0.168833i \(0.0539998\pi\)
\(44\) −0.533805 0.179860i −0.0804742 0.0271149i
\(45\) 0.152262 2.80831i 0.0226979 0.418638i
\(46\) 0.680968 + 0.409725i 0.100403 + 0.0604106i
\(47\) −4.51510 6.65928i −0.658596 0.971356i −0.999511 0.0312621i \(-0.990047\pi\)
0.340916 0.940094i \(-0.389263\pi\)
\(48\) 3.11545 + 2.36831i 0.449677 + 0.341835i
\(49\) −5.32771 2.46486i −0.761102 0.352123i
\(50\) 0.299853 0.180416i 0.0424057 0.0255146i
\(51\) 0.349325 + 0.658898i 0.0489153 + 0.0922641i
\(52\) 0.619956 + 0.136463i 0.0859724 + 0.0189239i
\(53\) −7.81654 + 3.61631i −1.07368 + 0.496739i −0.875397 0.483405i \(-0.839400\pi\)
−0.198287 + 0.980144i \(0.563538\pi\)
\(54\) 0.0674909 0.0995417i 0.00918435 0.0135459i
\(55\) 0.756115 0.254765i 0.101955 0.0343525i
\(56\) 0.136295 + 0.490892i 0.0182132 + 0.0655982i
\(57\) −0.341539 2.08330i −0.0452380 0.275939i
\(58\) 0.106037 0.0139233
\(59\) 4.51570 + 6.21357i 0.587894 + 0.808938i
\(60\) −5.58419 −0.720916
\(61\) −0.0621600 0.379159i −0.00795878 0.0485464i 0.982549 0.186006i \(-0.0595545\pi\)
−0.990507 + 0.137460i \(0.956106\pi\)
\(62\) −0.259766 0.935591i −0.0329903 0.118820i
\(63\) −1.00725 + 0.339381i −0.126901 + 0.0427580i
\(64\) 4.29587 6.33593i 0.536983 0.791991i
\(65\) −0.816060 + 0.377550i −0.101220 + 0.0468293i
\(66\) 0.0333211 + 0.00733453i 0.00410154 + 0.000902818i
\(67\) 5.29398 + 9.98550i 0.646762 + 1.21992i 0.962553 + 0.271094i \(0.0873854\pi\)
−0.315791 + 0.948829i \(0.602270\pi\)
\(68\) 1.26880 0.763409i 0.153864 0.0925770i
\(69\) 5.99740 + 2.77469i 0.722003 + 0.334034i
\(70\) −0.286201 0.217564i −0.0342076 0.0260039i
\(71\) 3.19809 + 4.71682i 0.379543 + 0.559784i 0.968700 0.248235i \(-0.0798504\pi\)
−0.589157 + 0.808019i \(0.700540\pi\)
\(72\) −0.410708 0.247115i −0.0484024 0.0291227i
\(73\) −0.658706 + 12.1491i −0.0770957 + 1.42195i 0.662584 + 0.748988i \(0.269460\pi\)
−0.739679 + 0.672959i \(0.765023\pi\)
\(74\) 0.672857 + 0.226712i 0.0782181 + 0.0263547i
\(75\) 2.31647 1.76093i 0.267483 0.203335i
\(76\) −4.09368 + 0.901088i −0.469578 + 0.103362i
\(77\) −0.195212 0.229821i −0.0222465 0.0261906i
\(78\) −0.0382244 0.00415716i −0.00432807 0.000470706i
\(79\) −2.62025 + 9.43729i −0.294801 + 1.06178i 0.656705 + 0.754148i \(0.271950\pi\)
−0.951506 + 0.307631i \(0.900464\pi\)
\(80\) 0.595867 + 10.9901i 0.0666200 + 1.22873i
\(81\) 0.468408 0.883512i 0.0520454 0.0981680i
\(82\) 0.601491 0.708130i 0.0664236 0.0781999i
\(83\) 5.69650 5.39601i 0.625272 0.592289i −0.308032 0.951376i \(-0.599671\pi\)
0.933304 + 0.359087i \(0.116912\pi\)
\(84\) 0.781140 + 1.96051i 0.0852294 + 0.213910i
\(85\) −0.776340 + 1.94847i −0.0842059 + 0.211341i
\(86\) 0.781508 + 0.740283i 0.0842721 + 0.0798268i
\(87\) 0.876528 0.0953282i 0.0939737 0.0102203i
\(88\) 0.0219994 0.134190i 0.00234514 0.0143047i
\(89\) −0.335332 + 2.04543i −0.0355451 + 0.216815i −0.998626 0.0523951i \(-0.983314\pi\)
0.963081 + 0.269211i \(0.0867628\pi\)
\(90\) 0.336254 0.0365698i 0.0354443 0.00385479i
\(91\) 0.246705 + 0.233691i 0.0258617 + 0.0244975i
\(92\) 4.85649 12.1889i 0.506324 1.27078i
\(93\) −2.98840 7.50031i −0.309882 0.777746i
\(94\) 0.702477 0.665421i 0.0724549 0.0686329i
\(95\) 3.84376 4.52523i 0.394362 0.464279i
\(96\) −0.669489 + 1.26279i −0.0683294 + 0.128883i
\(97\) −0.218567 4.03122i −0.0221921 0.409309i −0.988432 0.151665i \(-0.951537\pi\)
0.966240 0.257644i \(-0.0829462\pi\)
\(98\) 0.188871 0.680252i 0.0190789 0.0687159i
\(99\) 0.282035 + 0.0306731i 0.0283455 + 0.00308276i
\(100\) −3.74028 4.40340i −0.374028 0.440340i
\(101\) 1.60984 0.354352i 0.160185 0.0352593i −0.134154 0.990961i \(-0.542832\pi\)
0.294339 + 0.955701i \(0.404901\pi\)
\(102\) −0.0714014 + 0.0542780i −0.00706980 + 0.00537432i
\(103\) 6.44925 + 2.17301i 0.635464 + 0.214113i 0.618551 0.785744i \(-0.287720\pi\)
0.0169122 + 0.999857i \(0.494616\pi\)
\(104\) −0.00829642 + 0.153018i −0.000813531 + 0.0150047i
\(105\) −2.56140 1.54115i −0.249968 0.150400i
\(106\) −0.581269 0.857307i −0.0564578 0.0832691i
\(107\) 13.8120 + 10.4996i 1.33526 + 1.01504i 0.997266 + 0.0738903i \(0.0235415\pi\)
0.337994 + 0.941148i \(0.390252\pi\)
\(108\) −1.80202 0.833705i −0.173400 0.0802233i
\(109\) −15.2862 + 9.19740i −1.46415 + 0.880951i −0.999988 0.00479813i \(-0.998473\pi\)
−0.464164 + 0.885749i \(0.653645\pi\)
\(110\) 0.0449470 + 0.0847791i 0.00428553 + 0.00808337i
\(111\) 5.76583 + 1.26915i 0.547268 + 0.120463i
\(112\) 3.77509 1.74654i 0.356712 0.165033i
\(113\) 5.43910 8.02207i 0.511667 0.754652i −0.480844 0.876806i \(-0.659670\pi\)
0.992511 + 0.122154i \(0.0389801\pi\)
\(114\) 0.240601 0.0810680i 0.0225344 0.00759271i
\(115\) 4.97202 + 17.9076i 0.463643 + 1.66989i
\(116\) −0.283222 1.72758i −0.0262965 0.160402i
\(117\) −0.319710 −0.0295572
\(118\) −0.649568 + 0.656820i −0.0597976 + 0.0604652i
\(119\) 0.792670 0.0726640
\(120\) −0.218091 1.33030i −0.0199089 0.121439i
\(121\) −2.92128 10.5215i −0.265571 0.956500i
\(122\) 0.0437893 0.0147543i 0.00396450 0.00133579i
\(123\) 4.33546 6.39433i 0.390916 0.576557i
\(124\) −14.5491 + 6.73111i −1.30654 + 0.604471i
\(125\) −5.74112 1.26372i −0.513502 0.113030i
\(126\) −0.0598756 0.112937i −0.00533414 0.0100613i
\(127\) −11.9877 + 7.21278i −1.06374 + 0.640031i −0.936080 0.351788i \(-0.885574\pi\)
−0.127659 + 0.991818i \(0.540746\pi\)
\(128\) 3.42990 + 1.58684i 0.303163 + 0.140258i
\(129\) 7.12566 + 5.41679i 0.627380 + 0.476922i
\(130\) −0.0606855 0.0895044i −0.00532247 0.00785006i
\(131\) 0.144591 + 0.0869974i 0.0126330 + 0.00760100i 0.521856 0.853033i \(-0.325240\pi\)
−0.509223 + 0.860634i \(0.670067\pi\)
\(132\) 0.0304960 0.562466i 0.00265434 0.0489564i
\(133\) −2.12641 0.716471i −0.184383 0.0621259i
\(134\) −1.08208 + 0.822575i −0.0934773 + 0.0710596i
\(135\) 2.74668 0.604591i 0.236397 0.0520349i
\(136\) 0.231416 + 0.272444i 0.0198438 + 0.0233619i
\(137\) −13.7272 1.49292i −1.17279 0.127549i −0.499089 0.866551i \(-0.666332\pi\)
−0.673703 + 0.739002i \(0.735297\pi\)
\(138\) −0.212612 + 0.765760i −0.0180988 + 0.0651858i
\(139\) 1.09247 + 20.1493i 0.0926617 + 1.70904i 0.562917 + 0.826514i \(0.309679\pi\)
−0.470255 + 0.882531i \(0.655838\pi\)
\(140\) −2.78018 + 5.24397i −0.234968 + 0.443196i
\(141\) 5.20863 6.13208i 0.438646 0.516414i
\(142\) −0.497570 + 0.471323i −0.0417551 + 0.0395526i
\(143\) −0.0335719 0.0842592i −0.00280743 0.00704611i
\(144\) −1.44851 + 3.63548i −0.120709 + 0.302957i
\(145\) 1.80026 + 1.70530i 0.149504 + 0.141617i
\(146\) −1.45468 + 0.158206i −0.120390 + 0.0130932i
\(147\) 0.949704 5.79294i 0.0783303 0.477794i
\(148\) 1.89646 11.5679i 0.155888 0.950875i
\(149\) −10.0884 + 1.09718i −0.826472 + 0.0898843i −0.511572 0.859240i \(-0.670937\pi\)
−0.314900 + 0.949125i \(0.601971\pi\)
\(150\) 0.254059 + 0.240657i 0.0207438 + 0.0196496i
\(151\) 2.61203 6.55571i 0.212564 0.533496i −0.783574 0.621299i \(-0.786605\pi\)
0.996138 + 0.0878027i \(0.0279845\pi\)
\(152\) −0.374541 0.940026i −0.0303793 0.0762462i
\(153\) −0.541426 + 0.512866i −0.0437717 + 0.0414628i
\(154\) 0.0234771 0.0276394i 0.00189184 0.00222724i
\(155\) 10.6361 20.0618i 0.854310 1.61140i
\(156\) 0.0343672 + 0.633866i 0.00275158 + 0.0507499i
\(157\) 0.616568 2.22068i 0.0492075 0.177229i −0.934863 0.355009i \(-0.884478\pi\)
0.984070 + 0.177780i \(0.0568915\pi\)
\(158\) −1.17100 0.127354i −0.0931599 0.0101318i
\(159\) −5.57565 6.56416i −0.442177 0.520572i
\(160\) −3.92579 + 0.864132i −0.310361 + 0.0683156i
\(161\) 5.59154 4.25058i 0.440675 0.334993i
\(162\) 0.113969 + 0.0384007i 0.00895426 + 0.00301704i
\(163\) 0.126388 2.33110i 0.00989950 0.182586i −0.989402 0.145205i \(-0.953616\pi\)
0.999301 0.0373806i \(-0.0119014\pi\)
\(164\) −13.1436 7.90824i −1.02634 0.617530i
\(165\) 0.447761 + 0.660398i 0.0348581 + 0.0514119i
\(166\) 0.751234 + 0.571073i 0.0583071 + 0.0443239i
\(167\) −9.82235 4.54430i −0.760076 0.351649i 0.00126588 0.999999i \(-0.499597\pi\)
−0.761342 + 0.648351i \(0.775459\pi\)
\(168\) −0.436536 + 0.262655i −0.0336795 + 0.0202643i
\(169\) −6.04143 11.3953i −0.464725 0.876565i
\(170\) −0.246350 0.0542256i −0.0188941 0.00415892i
\(171\) 1.91599 0.886431i 0.146519 0.0677871i
\(172\) 9.97349 14.7098i 0.760471 1.12161i
\(173\) 6.80431 2.29264i 0.517322 0.174306i −0.0485160 0.998822i \(-0.515449\pi\)
0.565838 + 0.824516i \(0.308553\pi\)
\(174\) 0.0283679 + 0.102172i 0.00215056 + 0.00774563i
\(175\) −0.500357 3.05204i −0.0378234 0.230713i
\(176\) −1.11023 −0.0836867
\(177\) −4.77901 + 6.01341i −0.359212 + 0.451995i
\(178\) −0.249277 −0.0186841
\(179\) −0.0970720 0.592113i −0.00725550 0.0442566i 0.982951 0.183870i \(-0.0588624\pi\)
−0.990206 + 0.139613i \(0.955414\pi\)
\(180\) −1.49393 5.38065i −0.111351 0.401050i
\(181\) 0.844438 0.284524i 0.0627666 0.0211485i −0.287743 0.957708i \(-0.592905\pi\)
0.350510 + 0.936559i \(0.386008\pi\)
\(182\) −0.0229345 + 0.0338259i −0.00170002 + 0.00250734i
\(183\) 0.348709 0.161330i 0.0257773 0.0119259i
\(184\) 3.09336 + 0.680901i 0.228046 + 0.0501967i
\(185\) 7.77756 + 14.6700i 0.571817 + 1.07856i
\(186\) 0.831994 0.500594i 0.0610048 0.0367054i
\(187\) −0.192019 0.0888374i −0.0140418 0.00649643i
\(188\) −12.7175 9.66760i −0.927519 0.705082i
\(189\) −0.596478 0.879740i −0.0433874 0.0639917i
\(190\) 0.611842 + 0.368133i 0.0443877 + 0.0267072i
\(191\) 1.03964 19.1751i 0.0752259 1.38746i −0.680585 0.732670i \(-0.738274\pi\)
0.755810 0.654790i \(-0.227243\pi\)
\(192\) 7.25425 + 2.44424i 0.523530 + 0.176398i
\(193\) 11.0583 8.40633i 0.795997 0.605101i −0.126119 0.992015i \(-0.540252\pi\)
0.922116 + 0.386914i \(0.126459\pi\)
\(194\) 0.474174 0.104374i 0.0340437 0.00749359i
\(195\) −0.582107 0.685310i −0.0416856 0.0490760i
\(196\) −11.5873 1.26020i −0.827665 0.0900140i
\(197\) −5.47433 + 19.7167i −0.390030 + 1.40476i 0.464599 + 0.885521i \(0.346198\pi\)
−0.854629 + 0.519239i \(0.826215\pi\)
\(198\) 0.00184715 + 0.0340687i 0.000131271 + 0.00242116i
\(199\) −1.69725 + 3.20135i −0.120315 + 0.226938i −0.936353 0.351060i \(-0.885821\pi\)
0.816038 + 0.577998i \(0.196166\pi\)
\(200\) 0.902923 1.06300i 0.0638463 0.0751657i
\(201\) −8.20524 + 7.77241i −0.578753 + 0.548224i
\(202\) 0.0733766 + 0.184161i 0.00516276 + 0.0129576i
\(203\) 0.346873 0.870585i 0.0243457 0.0611031i
\(204\) 1.07502 + 1.01831i 0.0752666 + 0.0712963i
\(205\) 21.6002 2.34916i 1.50862 0.164072i
\(206\) −0.132412 + 0.807678i −0.00922559 + 0.0562736i
\(207\) −1.06908 + 6.52111i −0.0743063 + 0.453248i
\(208\) 1.24383 0.135275i 0.0862440 0.00937961i
\(209\) 0.434811 + 0.411874i 0.0300765 + 0.0284900i
\(210\) 0.133067 0.333974i 0.00918252 0.0230464i
\(211\) 2.06786 + 5.18995i 0.142358 + 0.357291i 0.982817 0.184584i \(-0.0590939\pi\)
−0.840459 + 0.541875i \(0.817715\pi\)
\(212\) −12.4149 + 11.7600i −0.852659 + 0.807682i
\(213\) −3.68932 + 4.34340i −0.252788 + 0.297605i
\(214\) −0.977364 + 1.84350i −0.0668112 + 0.126019i
\(215\) 1.36287 + 25.1366i 0.0929468 + 1.71430i
\(216\) 0.128231 0.461848i 0.00872504 0.0314248i
\(217\) −8.53116 0.927819i −0.579133 0.0629845i
\(218\) −1.38897 1.63522i −0.0940728 0.110751i
\(219\) −11.8825 + 2.61554i −0.802946 + 0.176742i
\(220\) 1.26119 0.958731i 0.0850293 0.0646376i
\(221\) 0.225950 + 0.0761313i 0.0151990 + 0.00512115i
\(222\) −0.0384400 + 0.708983i −0.00257992 + 0.0475839i
\(223\) −5.61177 3.37649i −0.375792 0.226107i 0.315110 0.949055i \(-0.397959\pi\)
−0.690902 + 0.722949i \(0.742786\pi\)
\(224\) 0.852537 + 1.25740i 0.0569625 + 0.0840135i
\(225\) 2.31647 + 1.76093i 0.154431 + 0.117396i
\(226\) 1.05789 + 0.489431i 0.0703696 + 0.0325565i
\(227\) 14.3565 8.63799i 0.952871 0.573324i 0.0479257 0.998851i \(-0.484739\pi\)
0.904946 + 0.425527i \(0.139911\pi\)
\(228\) −1.96342 3.70340i −0.130031 0.245264i
\(229\) −7.84358 1.72650i −0.518318 0.114090i −0.0518957 0.998653i \(-0.516526\pi\)
−0.466423 + 0.884562i \(0.654457\pi\)
\(230\) −2.02854 + 0.938503i −0.133758 + 0.0618830i
\(231\) 0.169220 0.249580i 0.0111338 0.0164212i
\(232\) 0.400491 0.134941i 0.0262935 0.00885933i
\(233\) 1.21174 + 4.36431i 0.0793840 + 0.285915i 0.992578 0.121610i \(-0.0388056\pi\)
−0.913194 + 0.407525i \(0.866392\pi\)
\(234\) −0.00622049 0.0379433i −0.000406646 0.00248043i
\(235\) 22.6278 1.47608
\(236\) 12.4360 + 8.82857i 0.809518 + 0.574691i
\(237\) −9.79430 −0.636208
\(238\) 0.0154227 + 0.0940743i 0.000999705 + 0.00609793i
\(239\) 7.09997 + 25.5718i 0.459259 + 1.65410i 0.724014 + 0.689785i \(0.242295\pi\)
−0.264756 + 0.964316i \(0.585291\pi\)
\(240\) −10.4301 + 3.51432i −0.673262 + 0.226848i
\(241\) −9.17130 + 13.5267i −0.590776 + 0.871329i −0.999139 0.0414907i \(-0.986789\pi\)
0.408363 + 0.912819i \(0.366100\pi\)
\(242\) 1.19186 0.551411i 0.0766154 0.0354461i
\(243\) 0.976621 + 0.214970i 0.0626502 + 0.0137904i
\(244\) −0.357342 0.674018i −0.0228765 0.0431496i
\(245\) 14.1465 8.51167i 0.903787 0.543791i
\(246\) 0.843234 + 0.390122i 0.0537627 + 0.0248733i
\(247\) −0.537318 0.408458i −0.0341887 0.0259896i
\(248\) −2.17173 3.20307i −0.137905 0.203395i
\(249\) 6.72330 + 4.04527i 0.426072 + 0.256359i
\(250\) 0.0382753 0.705946i 0.00242074 0.0446479i
\(251\) 11.9154 + 4.01477i 0.752095 + 0.253410i 0.669133 0.743143i \(-0.266666\pi\)
0.0829615 + 0.996553i \(0.473562\pi\)
\(252\) −1.68008 + 1.27716i −0.105835 + 0.0804535i
\(253\) −1.83089 + 0.403009i −0.115107 + 0.0253370i
\(254\) −1.08926 1.28237i −0.0683460 0.0804631i
\(255\) −2.08514 0.226772i −0.130576 0.0142010i
\(256\) 3.97425 14.3139i 0.248390 0.894621i
\(257\) −0.0937675 1.72944i −0.00584906 0.107880i 0.994151 0.108000i \(-0.0344445\pi\)
−1.00000 0.000120093i \(0.999962\pi\)
\(258\) −0.504225 + 0.951068i −0.0313916 + 0.0592109i
\(259\) 4.06243 4.78267i 0.252427 0.297181i
\(260\) −1.29614 + 1.22777i −0.0803831 + 0.0761429i
\(261\) 0.326350 + 0.819076i 0.0202005 + 0.0506995i
\(262\) −0.00751162 + 0.0188527i −0.000464069 + 0.00116473i
\(263\) −19.6342 18.5985i −1.21070 1.14683i −0.984985 0.172637i \(-0.944771\pi\)
−0.225710 0.974195i \(-0.572470\pi\)
\(264\) 0.135184 0.0147022i 0.00832003 0.000904858i
\(265\) 3.91872 23.9031i 0.240725 1.46836i
\(266\) 0.0436582 0.266303i 0.00267685 0.0163281i
\(267\) −2.06059 + 0.224102i −0.126106 + 0.0137148i
\(268\) 16.2918 + 15.4324i 0.995180 + 0.942684i
\(269\) −10.6382 + 26.6999i −0.648624 + 1.62792i 0.123419 + 0.992355i \(0.460614\pi\)
−0.772044 + 0.635570i \(0.780765\pi\)
\(270\) 0.125194 + 0.314214i 0.00761908 + 0.0191224i
\(271\) 20.5317 19.4486i 1.24721 1.18142i 0.271479 0.962444i \(-0.412487\pi\)
0.975730 0.218975i \(-0.0702713\pi\)
\(272\) 1.88941 2.22439i 0.114562 0.134873i
\(273\) −0.159173 + 0.300232i −0.00963357 + 0.0181708i
\(274\) −0.0899046 1.65819i −0.00543134 0.100175i
\(275\) −0.220845 + 0.795413i −0.0133175 + 0.0479652i
\(276\) 13.0438 + 1.41860i 0.785146 + 0.0853898i
\(277\) 2.82689 + 3.32808i 0.169852 + 0.199965i 0.840501 0.541809i \(-0.182261\pi\)
−0.670650 + 0.741774i \(0.733985\pi\)
\(278\) −2.37007 + 0.521692i −0.142148 + 0.0312890i
\(279\) 6.42744 4.88601i 0.384801 0.292518i
\(280\) −1.35782 0.457504i −0.0811455 0.0273411i
\(281\) 1.15493 21.3014i 0.0688971 1.27073i −0.735862 0.677131i \(-0.763223\pi\)
0.804760 0.593601i \(-0.202294\pi\)
\(282\) 0.829099 + 0.498852i 0.0493721 + 0.0297062i
\(283\) 4.66543 + 6.88099i 0.277331 + 0.409033i 0.940689 0.339269i \(-0.110180\pi\)
−0.663358 + 0.748302i \(0.730869\pi\)
\(284\) 9.00791 + 6.84764i 0.534521 + 0.406332i
\(285\) 5.38860 + 2.49303i 0.319193 + 0.147674i
\(286\) 0.00934671 0.00562373i 0.000552682 0.000332538i
\(287\) −3.84627 7.25483i −0.227038 0.428239i
\(288\) −1.39587 0.307254i −0.0822523 0.0181051i
\(289\) −14.9240 + 6.90458i −0.877883 + 0.406152i
\(290\) −0.167358 + 0.246835i −0.00982762 + 0.0144946i
\(291\) 3.82581 1.28907i 0.224273 0.0755664i
\(292\) 6.46294 + 23.2774i 0.378215 + 1.36221i
\(293\) 1.19034 + 7.26077i 0.0695405 + 0.424178i 0.998536 + 0.0540878i \(0.0172251\pi\)
−0.928996 + 0.370091i \(0.879327\pi\)
\(294\) 0.705986 0.0411739
\(295\) −21.5912 + 0.704852i −1.25709 + 0.0410380i
\(296\) 2.82983 0.164481
\(297\) 0.0458972 + 0.279960i 0.00266322 + 0.0162449i
\(298\) −0.326499 1.17594i −0.0189136 0.0681206i
\(299\) 2.00211 0.674588i 0.115785 0.0390124i
\(300\) 3.24226 4.78198i 0.187192 0.276088i
\(301\) 8.63438 3.99469i 0.497678 0.230250i
\(302\) 0.828855 + 0.182445i 0.0476953 + 0.0104985i
\(303\) 0.772113 + 1.45636i 0.0443567 + 0.0836657i
\(304\) −7.07907 + 4.25934i −0.406013 + 0.244290i
\(305\) 0.980723 + 0.453731i 0.0561560 + 0.0259805i
\(306\) −0.0714014 0.0542780i −0.00408175 0.00310287i
\(307\) 7.00277 + 10.3283i 0.399669 + 0.589468i 0.973269 0.229667i \(-0.0737639\pi\)
−0.573600 + 0.819136i \(0.694454\pi\)
\(308\) −0.513014 0.308670i −0.0292317 0.0175881i
\(309\) −0.368442 + 6.79552i −0.0209599 + 0.386583i
\(310\) 2.58788 + 0.871958i 0.146982 + 0.0495239i
\(311\) −1.65660 + 1.25932i −0.0939374 + 0.0714094i −0.651089 0.759002i \(-0.725687\pi\)
0.557151 + 0.830411i \(0.311894\pi\)
\(312\) −0.149660 + 0.0329428i −0.00847286 + 0.00186502i
\(313\) −15.4872 18.2330i −0.875389 1.03059i −0.999267 0.0382898i \(-0.987809\pi\)
0.123878 0.992297i \(-0.460467\pi\)
\(314\) 0.275547 + 0.0299675i 0.0155500 + 0.00169117i
\(315\) 0.799723 2.88034i 0.0450593 0.162289i
\(316\) 1.05284 + 19.4184i 0.0592266 + 1.09237i
\(317\) −11.1729 + 21.0743i −0.627531 + 1.18365i 0.342235 + 0.939614i \(0.388816\pi\)
−0.969766 + 0.244035i \(0.921529\pi\)
\(318\) 0.670553 0.789436i 0.0376027 0.0442693i
\(319\) −0.181597 + 0.172018i −0.0101675 + 0.00963115i
\(320\) 7.96874 + 20.0000i 0.445466 + 1.11804i
\(321\) −6.42182 + 16.1175i −0.358431 + 0.899594i
\(322\) 0.613253 + 0.580904i 0.0341752 + 0.0323725i
\(323\) −1.56517 + 0.170223i −0.0870886 + 0.00947146i
\(324\) 0.321224 1.95938i 0.0178458 0.108854i
\(325\) 0.150505 0.918037i 0.00834849 0.0509235i
\(326\) 0.279114 0.0303555i 0.0154587 0.00168124i
\(327\) −12.9516 12.2685i −0.716228 0.678447i
\(328\) 1.37062 3.43999i 0.0756797 0.189942i
\(329\) −3.16527 7.94424i −0.174507 0.437980i
\(330\) −0.0696643 + 0.0659895i −0.00383489 + 0.00363260i
\(331\) 13.7492 16.1868i 0.755725 0.889708i −0.241004 0.970524i \(-0.577477\pi\)
0.996729 + 0.0808161i \(0.0257527\pi\)
\(332\) 7.29754 13.7646i 0.400504 0.755432i
\(333\) 0.319628 + 5.89520i 0.0175155 + 0.323055i
\(334\) 0.348209 1.25414i 0.0190532 0.0686233i
\(335\) −31.6000 3.43670i −1.72649 0.187767i
\(336\) 2.69282 + 3.17024i 0.146906 + 0.172951i
\(337\) 32.4556 7.14402i 1.76797 0.389159i 0.792600 0.609742i \(-0.208727\pi\)
0.975368 + 0.220582i \(0.0707957\pi\)
\(338\) 1.23486 0.938714i 0.0671674 0.0510593i
\(339\) 9.18477 + 3.09471i 0.498848 + 0.168082i
\(340\) −0.225463 + 4.15842i −0.0122275 + 0.225522i
\(341\) 1.96263 + 1.18087i 0.106282 + 0.0639480i
\(342\) 0.142481 + 0.210143i 0.00770447 + 0.0113632i
\(343\) −10.8903 8.27857i −0.588019 0.447001i
\(344\) 3.89376 + 1.80144i 0.209937 + 0.0971273i
\(345\) −15.9247 + 9.58158i −0.857358 + 0.515855i
\(346\) 0.404480 + 0.762931i 0.0217450 + 0.0410154i
\(347\) −33.1778 7.30298i −1.78108 0.392044i −0.802290 0.596934i \(-0.796385\pi\)
−0.978785 + 0.204890i \(0.934316\pi\)
\(348\) 1.58884 0.735075i 0.0851707 0.0394042i
\(349\) 11.4272 16.8538i 0.611682 0.902164i −0.388129 0.921605i \(-0.626878\pi\)
0.999811 + 0.0194413i \(0.00618874\pi\)
\(350\) 0.352482 0.118765i 0.0188410 0.00634826i
\(351\) −0.0855316 0.308057i −0.00456534 0.0164429i
\(352\) −0.0656001 0.400143i −0.00349650 0.0213277i
\(353\) 32.7365 1.74239 0.871193 0.490940i \(-0.163347\pi\)
0.871193 + 0.490940i \(0.163347\pi\)
\(354\) −0.806656 0.450173i −0.0428733 0.0239264i
\(355\) −16.0275 −0.850650
\(356\) 0.665813 + 4.06128i 0.0352880 + 0.215248i
\(357\) 0.212062 + 0.763777i 0.0112235 + 0.0404234i
\(358\) 0.0683835 0.0230411i 0.00361418 0.00121776i
\(359\) −18.4291 + 27.1809i −0.972652 + 1.43456i −0.0733105 + 0.997309i \(0.523356\pi\)
−0.899342 + 0.437246i \(0.855954\pi\)
\(360\) 1.22346 0.566033i 0.0644820 0.0298326i
\(361\) −14.2032 3.12636i −0.747537 0.164545i
\(362\) 0.0501973 + 0.0946822i 0.00263831 + 0.00497639i
\(363\) 9.35647 5.62960i 0.491087 0.295477i
\(364\) 0.612357 + 0.283306i 0.0320962 + 0.0148493i
\(365\) −27.2414 20.7083i −1.42588 1.08392i
\(366\) 0.0259314 + 0.0382460i 0.00135546 + 0.00199915i
\(367\) 8.37764 + 5.04066i 0.437309 + 0.263120i 0.717140 0.696929i \(-0.245451\pi\)
−0.279831 + 0.960049i \(0.590278\pi\)
\(368\) 1.40006 25.8226i 0.0729833 1.34610i
\(369\) 7.32112 + 2.46677i 0.381122 + 0.128415i
\(370\) −1.58972 + 1.20847i −0.0826455 + 0.0628255i
\(371\) −8.94015 + 1.96787i −0.464149 + 0.102167i
\(372\) −10.3780 12.2180i −0.538077 0.633473i
\(373\) −11.6459 1.26657i −0.603004 0.0655806i −0.198475 0.980106i \(-0.563599\pi\)
−0.404529 + 0.914525i \(0.632564\pi\)
\(374\) 0.00680720 0.0245173i 0.000351992 0.00126776i
\(375\) −0.318259 5.86994i −0.0164348 0.303122i
\(376\) 1.80638 3.40720i 0.0931570 0.175713i
\(377\) 0.182490 0.214844i 0.00939872 0.0110650i
\(378\) 0.0928023 0.0879070i 0.00477324 0.00452145i
\(379\) −8.18554 20.5442i −0.420463 1.05528i −0.974818 0.223002i \(-0.928414\pi\)
0.554355 0.832280i \(-0.312965\pi\)
\(380\) 4.36350 10.9516i 0.223843 0.561803i
\(381\) −10.1569 9.62115i −0.520355 0.492907i
\(382\) 2.29593 0.249698i 0.117470 0.0127756i
\(383\) 1.64764 10.0501i 0.0841902 0.513538i −0.910741 0.412978i \(-0.864489\pi\)
0.994931 0.100559i \(-0.0320632\pi\)
\(384\) −0.611405 + 3.72940i −0.0312006 + 0.190315i
\(385\) 0.843086 0.0916912i 0.0429677 0.00467302i
\(386\) 1.21282 + 1.14885i 0.0617311 + 0.0584748i
\(387\) −3.31303 + 8.31508i −0.168411 + 0.422679i
\(388\) −2.96699 7.44658i −0.150626 0.378043i
\(389\) 18.6904 17.7045i 0.947642 0.897654i −0.0472207 0.998884i \(-0.515036\pi\)
0.994863 + 0.101230i \(0.0322778\pi\)
\(390\) 0.0700069 0.0824185i 0.00354494 0.00417342i
\(391\) 2.30840 4.35410i 0.116741 0.220196i
\(392\) −0.152332 2.80961i −0.00769395 0.141906i
\(393\) −0.0451442 + 0.162595i −0.00227722 + 0.00820182i
\(394\) −2.44650 0.266073i −0.123253 0.0134046i
\(395\) −17.8328 20.9944i −0.897265 1.05634i
\(396\) 0.550122 0.121091i 0.0276447 0.00608506i
\(397\) 3.28858 2.49992i 0.165049 0.125467i −0.519389 0.854538i \(-0.673841\pi\)
0.684439 + 0.729071i \(0.260047\pi\)
\(398\) −0.412960 0.139143i −0.0206998 0.00697459i
\(399\) 0.121481 2.24058i 0.00608164 0.112169i
\(400\) −9.75727 5.87076i −0.487864 0.293538i
\(401\) 16.4916 + 24.3233i 0.823553 + 1.21465i 0.974116 + 0.226049i \(0.0725809\pi\)
−0.150563 + 0.988600i \(0.548109\pi\)
\(402\) −1.08208 0.822575i −0.0539692 0.0410263i
\(403\) −2.34268 1.08384i −0.116697 0.0539900i
\(404\) 2.80442 1.68736i 0.139525 0.0839493i
\(405\) 1.31737 + 2.48482i 0.0654606 + 0.123472i
\(406\) 0.110070 + 0.0242283i 0.00546269 + 0.00120243i
\(407\) −1.52011 + 0.703276i −0.0753489 + 0.0348601i
\(408\) −0.200603 + 0.295867i −0.00993133 + 0.0146476i
\(409\) −27.4117 + 9.23607i −1.35542 + 0.456694i −0.900894 0.434039i \(-0.857088\pi\)
−0.454526 + 0.890734i \(0.650191\pi\)
\(410\) 0.699066 + 2.51781i 0.0345244 + 0.124346i
\(411\) −2.23391 13.6262i −0.110190 0.672132i
\(412\) 13.5126 0.665716
\(413\) 3.26773 + 7.48171i 0.160795 + 0.368151i
\(414\) −0.794728 −0.0390587
\(415\) 3.57015 + 21.7770i 0.175252 + 1.06899i
\(416\) 0.122249 + 0.440301i 0.00599375 + 0.0215875i
\(417\) −19.1226 + 6.44316i −0.936439 + 0.315523i
\(418\) −0.0404214 + 0.0596171i −0.00197708 + 0.00291597i
\(419\) 21.4096 9.90512i 1.04593 0.483897i 0.179790 0.983705i \(-0.442458\pi\)
0.866136 + 0.499808i \(0.166596\pi\)
\(420\) −5.79660 1.27593i −0.282845 0.0622589i
\(421\) −6.16878 11.6355i −0.300648 0.567082i 0.686455 0.727173i \(-0.259166\pi\)
−0.987102 + 0.160091i \(0.948821\pi\)
\(422\) −0.575711 + 0.346394i −0.0280252 + 0.0168622i
\(423\) 7.30202 + 3.37827i 0.355036 + 0.164257i
\(424\) −3.28640 2.49825i −0.159602 0.121326i
\(425\) −1.21780 1.79612i −0.0590720 0.0871246i
\(426\) −0.587258 0.353341i −0.0284527 0.0171194i
\(427\) 0.0221094 0.407784i 0.00106995 0.0197341i
\(428\) 32.6453 + 10.9995i 1.57797 + 0.531681i
\(429\) 0.0722065 0.0548900i 0.00348616 0.00265011i
\(430\) −2.95670 + 0.650820i −0.142585 + 0.0313853i
\(431\) 3.48794 + 4.10632i 0.168008 + 0.197795i 0.839723 0.543016i \(-0.182718\pi\)
−0.671714 + 0.740810i \(0.734442\pi\)
\(432\) −3.89049 0.423116i −0.187181 0.0203572i
\(433\) 9.28086 33.4266i 0.446010 1.60638i −0.309267 0.950975i \(-0.600084\pi\)
0.755276 0.655407i \(-0.227503\pi\)
\(434\) −0.0558738 1.03053i −0.00268203 0.0494671i
\(435\) −1.16152 + 2.19086i −0.0556906 + 0.105044i
\(436\) −22.9315 + 26.9970i −1.09822 + 1.29292i
\(437\) −10.1280 + 9.59378i −0.484489 + 0.458933i
\(438\) −0.541607 1.35933i −0.0258790 0.0649513i
\(439\) −10.3115 + 25.8798i −0.492139 + 1.23518i 0.447892 + 0.894088i \(0.352175\pi\)
−0.940031 + 0.341089i \(0.889204\pi\)
\(440\) 0.277649 + 0.263004i 0.0132364 + 0.0125382i
\(441\) 5.83586 0.634688i 0.277898 0.0302232i
\(442\) −0.00463906 + 0.0282970i −0.000220658 + 0.00134595i
\(443\) −4.32006 + 26.3512i −0.205252 + 1.25198i 0.660237 + 0.751057i \(0.270456\pi\)
−0.865490 + 0.500927i \(0.832992\pi\)
\(444\) 11.6536 1.26741i 0.553056 0.0601484i
\(445\) −4.23215 4.00891i −0.200623 0.190040i
\(446\) 0.291537 0.731702i 0.0138047 0.0346471i
\(447\) −3.75611 9.42713i −0.177658 0.445888i
\(448\) 5.90696 5.59537i 0.279078 0.264356i
\(449\) 1.17492 1.38322i 0.0554479 0.0652783i −0.733739 0.679432i \(-0.762226\pi\)
0.789187 + 0.614153i \(0.210502\pi\)
\(450\) −0.163917 + 0.309181i −0.00772714 + 0.0145749i
\(451\) 0.118657 + 2.18850i 0.00558734 + 0.103052i
\(452\) 5.14833 18.5426i 0.242157 0.872172i
\(453\) 7.01555 + 0.762987i 0.329619 + 0.0358483i
\(454\) 1.30449 + 1.53576i 0.0612226 + 0.0720769i
\(455\) −0.933367 + 0.205450i −0.0437569 + 0.00963163i
\(456\) 0.805562 0.612372i 0.0377239 0.0286770i
\(457\) 39.1285 + 13.1839i 1.83035 + 0.616718i 0.998051 + 0.0623984i \(0.0198749\pi\)
0.832304 + 0.554320i \(0.187022\pi\)
\(458\) 0.0522920 0.964470i 0.00244345 0.0450667i
\(459\) −0.639019 0.384485i −0.0298269 0.0179462i
\(460\) 20.7085 + 30.5428i 0.965539 + 1.42406i
\(461\) −25.1178 19.0940i −1.16985 0.889297i −0.174409 0.984673i \(-0.555802\pi\)
−0.995441 + 0.0953758i \(0.969595\pi\)
\(462\) 0.0329127 + 0.0152270i 0.00153124 + 0.000708425i
\(463\) −29.5565 + 17.7836i −1.37361 + 0.826472i −0.995076 0.0991169i \(-0.968398\pi\)
−0.378531 + 0.925589i \(0.623571\pi\)
\(464\) −1.61622 3.04852i −0.0750313 0.141524i
\(465\) 22.1760 + 4.88130i 1.02839 + 0.226365i
\(466\) −0.494381 + 0.228725i −0.0229018 + 0.0105955i
\(467\) 13.5261 19.9495i 0.625913 0.923152i −0.374078 0.927397i \(-0.622041\pi\)
0.999991 + 0.00424489i \(0.00135119\pi\)
\(468\) −0.601567 + 0.202692i −0.0278075 + 0.00936942i
\(469\) 3.21376 + 11.5749i 0.148398 + 0.534481i
\(470\) 0.440262 + 2.68548i 0.0203078 + 0.123872i
\(471\) 2.30468 0.106194
\(472\) −1.61750 + 3.30738i −0.0744513 + 0.152234i
\(473\) −2.53932 −0.116758
\(474\) −0.190564 1.16239i −0.00875290 0.0533903i
\(475\) 1.64340 + 5.91899i 0.0754043 + 0.271582i
\(476\) 1.49149 0.502541i 0.0683623 0.0230339i
\(477\) 4.83325 7.12851i 0.221299 0.326392i
\(478\) −2.89672 + 1.34017i −0.132493 + 0.0612978i
\(479\) 15.8795 + 3.49535i 0.725554 + 0.159707i 0.562366 0.826888i \(-0.309891\pi\)
0.163188 + 0.986595i \(0.447822\pi\)
\(480\) −1.88289 3.55152i −0.0859420 0.162104i
\(481\) 1.61734 0.973121i 0.0737443 0.0443705i
\(482\) −1.78379 0.825269i −0.0812494 0.0375900i
\(483\) 5.59154 + 4.25058i 0.254424 + 0.193408i
\(484\) −12.1672 17.9452i −0.553052 0.815691i
\(485\) 9.72894 + 5.85371i 0.441768 + 0.265803i
\(486\) −0.00651099 + 0.120088i −0.000295345 + 0.00544731i
\(487\) 21.2077 + 7.14572i 0.961014 + 0.323803i 0.755718 0.654897i \(-0.227288\pi\)
0.205296 + 0.978700i \(0.434184\pi\)
\(488\) 0.146612 0.111451i 0.00663681 0.00504517i
\(489\) 2.27994 0.501853i 0.103102 0.0226946i
\(490\) 1.28541 + 1.51330i 0.0580690 + 0.0683641i
\(491\) −6.11962 0.665549i −0.276175 0.0300358i −0.0310164 0.999519i \(-0.509874\pi\)
−0.245158 + 0.969483i \(0.578840\pi\)
\(492\) 4.10370 14.7802i 0.185009 0.666342i
\(493\) −0.0355987 0.656579i −0.00160328 0.0295708i
\(494\) 0.0380215 0.0717162i 0.00171067 0.00322667i
\(495\) −0.516537 + 0.608115i −0.0232166 + 0.0273327i
\(496\) −22.9385 + 21.7285i −1.02997 + 0.975639i
\(497\) 2.24199 + 5.62697i 0.100567 + 0.252404i
\(498\) −0.349281 + 0.876630i −0.0156517 + 0.0392827i
\(499\) −0.597507 0.565989i −0.0267481 0.0253371i 0.674209 0.738541i \(-0.264485\pi\)
−0.700957 + 0.713204i \(0.747243\pi\)
\(500\) −11.6037 + 1.26198i −0.518932 + 0.0564373i
\(501\) 1.75091 10.6801i 0.0782247 0.477150i
\(502\) −0.244640 + 1.49224i −0.0109188 + 0.0666019i
\(503\) 4.82684 0.524951i 0.215218 0.0234064i 0.000125380 1.00000i \(-0.499960\pi\)
0.215093 + 0.976594i \(0.430995\pi\)
\(504\) −0.369867 0.350357i −0.0164752 0.0156061i
\(505\) −1.71594 + 4.30669i −0.0763584 + 0.191645i
\(506\) −0.0834522 0.209449i −0.00370990 0.00931116i
\(507\) 9.36373 8.86980i 0.415858 0.393922i
\(508\) −17.9833 + 21.1716i −0.797881 + 0.939338i
\(509\) 8.22876 15.5211i 0.364734 0.687960i −0.631434 0.775430i \(-0.717533\pi\)
0.996167 + 0.0874695i \(0.0278780\pi\)
\(510\) −0.0136564 0.251877i −0.000604714 0.0111533i
\(511\) −3.45971 + 12.4607i −0.153048 + 0.551230i
\(512\) 9.29018 + 1.01037i 0.410572 + 0.0446524i
\(513\) 1.36670 + 1.60901i 0.0603414 + 0.0710394i
\(514\) 0.203426 0.0447775i 0.00897274 0.00197505i
\(515\) −15.2372 + 11.5830i −0.671433 + 0.510410i
\(516\) 16.8418 + 5.67467i 0.741419 + 0.249813i
\(517\) −0.123574 + 2.27918i −0.00543476 + 0.100238i
\(518\) 0.646650 + 0.389076i 0.0284122 + 0.0170950i
\(519\) 4.02942 + 5.94295i 0.176872 + 0.260867i
\(520\) −0.343106 0.260822i −0.0150462 0.0114378i
\(521\) 26.8728 + 12.4327i 1.17732 + 0.544685i 0.908246 0.418436i \(-0.137421\pi\)
0.269071 + 0.963120i \(0.413283\pi\)
\(522\) −0.0908584 + 0.0546677i −0.00397677 + 0.00239274i
\(523\) −7.73249 14.5850i −0.338118 0.637759i 0.654900 0.755715i \(-0.272711\pi\)
−0.993019 + 0.117956i \(0.962366\pi\)
\(524\) 0.327217 + 0.0720259i 0.0142945 + 0.00314647i
\(525\) 2.80694 1.29863i 0.122505 0.0566767i
\(526\) 1.82526 2.69205i 0.0795850 0.117379i
\(527\) −5.70596 + 1.92256i −0.248556 + 0.0837482i
\(528\) −0.297018 1.06976i −0.0129261 0.0465554i
\(529\) −3.34368 20.3955i −0.145377 0.886762i
\(530\) 2.91308 0.126536
\(531\) −7.07274 2.99606i −0.306931 0.130018i
\(532\) −4.45528 −0.193161
\(533\) −0.399590 2.43739i −0.0173082 0.105575i
\(534\) −0.0666887 0.240191i −0.00288590 0.0103941i
\(535\) −46.2409 + 15.5804i −1.99917 + 0.673598i
\(536\) −3.04011 + 4.48383i −0.131313 + 0.193672i
\(537\) 0.544561 0.251941i 0.0234996 0.0108720i
\(538\) −3.37574 0.743057i −0.145539 0.0320355i
\(539\) 0.780079 + 1.47138i 0.0336004 + 0.0633770i
\(540\) 4.78486 2.87895i 0.205907 0.123890i
\(541\) 12.8119 + 5.92740i 0.550825 + 0.254839i 0.675501 0.737359i \(-0.263927\pi\)
−0.124676 + 0.992197i \(0.539789\pi\)
\(542\) 2.70764 + 2.05830i 0.116303 + 0.0884115i
\(543\) 0.500064 + 0.737540i 0.0214598 + 0.0316509i
\(544\) 0.913340 + 0.549539i 0.0391591 + 0.0235613i
\(545\) 2.71633 50.0998i 0.116355 2.14604i
\(546\) −0.0387285 0.0130492i −0.00165743 0.000558453i
\(547\) 5.23504 3.97957i 0.223834 0.170154i −0.487247 0.873264i \(-0.661999\pi\)
0.711081 + 0.703110i \(0.248206\pi\)
\(548\) −26.7755 + 5.89374i −1.14379 + 0.251768i
\(549\) 0.248739 + 0.292839i 0.0106159 + 0.0124980i
\(550\) −0.0986967 0.0107339i −0.00420844 0.000457696i
\(551\) −0.497966 + 1.79351i −0.0212141 + 0.0764061i
\(552\) 0.171480 + 3.16277i 0.00729869 + 0.134616i
\(553\) −4.87624 + 9.19756i −0.207359 + 0.391120i
\(554\) −0.339975 + 0.400250i −0.0144442 + 0.0170050i
\(555\) −12.0546 + 11.4187i −0.511689 + 0.484697i
\(556\) 14.8300 + 37.2204i 0.628930 + 1.57850i
\(557\) −1.05680 + 2.65238i −0.0447782 + 0.112385i −0.949665 0.313268i \(-0.898576\pi\)
0.904887 + 0.425653i \(0.139956\pi\)
\(558\) 0.704930 + 0.667745i 0.0298421 + 0.0282679i
\(559\) 2.84489 0.309400i 0.120326 0.0130862i
\(560\) −1.89259 + 11.5443i −0.0799767 + 0.487836i
\(561\) 0.0342288 0.208786i 0.00144514 0.00881496i
\(562\) 2.55052 0.277386i 0.107587 0.0117008i
\(563\) 15.0627 + 14.2681i 0.634817 + 0.601330i 0.935899 0.352268i \(-0.114589\pi\)
−0.301083 + 0.953598i \(0.597348\pi\)
\(564\) 5.91292 14.8403i 0.248979 0.624890i
\(565\) 10.0894 + 25.3225i 0.424464 + 1.06533i
\(566\) −0.725865 + 0.687576i −0.0305104 + 0.0289010i
\(567\) 0.688098 0.810092i 0.0288974 0.0340207i
\(568\) −1.27947 + 2.41334i −0.0536856 + 0.101262i
\(569\) 1.18455 + 21.8477i 0.0496589 + 0.915904i 0.912156 + 0.409843i \(0.134416\pi\)
−0.862497 + 0.506062i \(0.831101\pi\)
\(570\) −0.191030 + 0.688026i −0.00800135 + 0.0288183i
\(571\) 11.8587 + 1.28972i 0.496273 + 0.0539729i 0.352833 0.935686i \(-0.385218\pi\)
0.143439 + 0.989659i \(0.454184\pi\)
\(572\) −0.116588 0.137258i −0.00487479 0.00573905i
\(573\) 18.7543 4.12813i 0.783471 0.172455i
\(574\) 0.786170 0.597631i 0.0328141 0.0249446i
\(575\) −18.2219 6.13966i −0.759904 0.256042i
\(576\) −0.414431 + 7.64374i −0.0172680 + 0.318489i
\(577\) 8.30100 + 4.99454i 0.345575 + 0.207926i 0.677750 0.735292i \(-0.262955\pi\)
−0.332175 + 0.943218i \(0.607783\pi\)
\(578\) −1.10981 1.63685i −0.0461620 0.0680838i
\(579\) 11.0583 + 8.40633i 0.459569 + 0.349355i
\(580\) 4.46851 + 2.06735i 0.185545 + 0.0858421i
\(581\) 7.14610 4.29967i 0.296470 0.178380i
\(582\) 0.227424 + 0.428968i 0.00942704 + 0.0177813i
\(583\) 2.38623 + 0.525250i 0.0988278 + 0.0217536i
\(584\) −5.29285 + 2.44873i −0.219020 + 0.101329i
\(585\) 0.504600 0.744229i 0.0208626 0.0307701i
\(586\) −0.838550 + 0.282540i −0.0346402 + 0.0116716i
\(587\) 2.48702 + 8.95742i 0.102650 + 0.369712i 0.996977 0.0777026i \(-0.0247585\pi\)
−0.894326 + 0.447415i \(0.852345\pi\)
\(588\) −1.88567 11.5021i −0.0777638 0.474338i
\(589\) 17.0445 0.702307
\(590\) −0.503745 2.54874i −0.0207388 0.104930i
\(591\) −20.4626 −0.841719
\(592\) −3.73786 22.8000i −0.153625 0.937072i
\(593\) 9.54124 + 34.3644i 0.391812 + 1.41118i 0.852086 + 0.523401i \(0.175337\pi\)
−0.460275 + 0.887777i \(0.652249\pi\)
\(594\) −0.0323328 + 0.0108942i −0.00132663 + 0.000446993i
\(595\) −1.25107 + 1.84520i −0.0512890 + 0.0756456i
\(596\) −18.2867 + 8.46033i −0.749052 + 0.346549i
\(597\) −3.53873 0.778933i −0.144831 0.0318796i
\(598\) 0.119014 + 0.224485i 0.00486686 + 0.00917988i
\(599\) 18.3781 11.0577i 0.750908 0.451806i −0.0879721 0.996123i \(-0.528039\pi\)
0.838880 + 0.544317i \(0.183211\pi\)
\(600\) 1.26581 + 0.585628i 0.0516766 + 0.0239082i
\(601\) −19.9901 15.1961i −0.815415 0.619862i 0.112080 0.993699i \(-0.464249\pi\)
−0.927494 + 0.373837i \(0.878042\pi\)
\(602\) 0.642087 + 0.947008i 0.0261695 + 0.0385972i
\(603\) −9.68424 5.82682i −0.394373 0.237286i
\(604\) 0.758582 13.9912i 0.0308663 0.569295i
\(605\) 29.1028 + 9.80589i 1.18320 + 0.398666i
\(606\) −0.157818 + 0.119970i −0.00641093 + 0.00487347i
\(607\) 9.15428 2.01501i 0.371561 0.0817867i −0.0252648 0.999681i \(-0.508043\pi\)
0.396825 + 0.917894i \(0.370112\pi\)
\(608\) −1.95341 2.29973i −0.0792211 0.0932663i
\(609\) 0.931650 + 0.101323i 0.0377524 + 0.00410582i
\(610\) −0.0347673 + 0.125221i −0.00140769 + 0.00507003i
\(611\) −0.139260 2.56850i −0.00563386 0.103910i
\(612\) −0.693598 + 1.30827i −0.0280371 + 0.0528835i
\(613\) −2.16839 + 2.55283i −0.0875806 + 0.103108i −0.804207 0.594350i \(-0.797410\pi\)
0.716626 + 0.697457i \(0.245685\pi\)
\(614\) −1.08952 + 1.03205i −0.0439693 + 0.0416500i
\(615\) 8.04219 + 20.1844i 0.324292 + 0.813913i
\(616\) 0.0534972 0.134268i 0.00215546 0.00540981i
\(617\) −16.2672 15.4091i −0.654892 0.620346i 0.286332 0.958130i \(-0.407564\pi\)
−0.941224 + 0.337784i \(0.890323\pi\)
\(618\) −0.813662 + 0.0884911i −0.0327303 + 0.00355963i
\(619\) 1.39585 8.51429i 0.0561039 0.342218i −0.943827 0.330441i \(-0.892803\pi\)
0.999931 0.0117778i \(-0.00374907\pi\)
\(620\) 7.29399 44.4913i 0.292934 1.78682i
\(621\) −6.56942 + 0.714468i −0.263622 + 0.0286706i
\(622\) −0.181688 0.172104i −0.00728503 0.00690075i
\(623\) −0.815446 + 2.04662i −0.0326702 + 0.0819960i
\(624\) 0.463103 + 1.16230i 0.0185390 + 0.0465293i
\(625\) 22.5654 21.3751i 0.902618 0.855005i
\(626\) 1.86256 2.19278i 0.0744430 0.0876410i
\(627\) −0.280537 + 0.529150i −0.0112036 + 0.0211322i
\(628\) −0.247741 4.56932i −0.00988596 0.182336i
\(629\) 1.17791 4.24244i 0.0469662 0.169157i
\(630\) 0.357400 + 0.0388696i 0.0142391 + 0.00154860i
\(631\) −10.7955 12.7094i −0.429761 0.505954i 0.504073 0.863661i \(-0.331834\pi\)
−0.933834 + 0.357707i \(0.883559\pi\)
\(632\) −4.58483 + 1.00920i −0.182375 + 0.0401438i
\(633\) −4.44756 + 3.38095i −0.176775 + 0.134381i
\(634\) −2.71849 0.915965i −0.107965 0.0363776i
\(635\) 2.13020 39.2893i 0.0845345 1.55915i
\(636\) −14.6527 8.81624i −0.581018 0.349587i
\(637\) −1.05323 1.55340i −0.0417304 0.0615478i
\(638\) −0.0239484 0.0182051i −0.000948126 0.000720747i
\(639\) −5.17208 2.39286i −0.204604 0.0946600i
\(640\) −9.10730 + 5.47968i −0.359998 + 0.216603i
\(641\) 15.8452 + 29.8873i 0.625849 + 1.18048i 0.970353 + 0.241691i \(0.0777022\pi\)
−0.344504 + 0.938785i \(0.611953\pi\)
\(642\) −2.03778 0.448550i −0.0804248 0.0177028i
\(643\) 6.45081 2.98446i 0.254395 0.117696i −0.288547 0.957466i \(-0.593172\pi\)
0.542942 + 0.839770i \(0.317310\pi\)
\(644\) 7.82624 11.5428i 0.308397 0.454852i
\(645\) −23.8558 + 8.03795i −0.939320 + 0.316494i
\(646\) −0.0506551 0.182443i −0.00199300 0.00717814i
\(647\) 5.17589 + 31.5716i 0.203485 + 1.24121i 0.868997 + 0.494818i \(0.164765\pi\)
−0.665511 + 0.746388i \(0.731786\pi\)
\(648\) 0.479319 0.0188294
\(649\) 0.0469166 2.17862i 0.00184164 0.0855182i
\(650\) 0.111881 0.00438834
\(651\) −1.38833 8.46841i −0.0544128 0.331903i
\(652\) −1.24007 4.46632i −0.0485648 0.174915i
\(653\) 31.0446 10.4602i 1.21487 0.409338i 0.362355 0.932040i \(-0.381973\pi\)
0.852515 + 0.522702i \(0.175076\pi\)
\(654\) 1.20403 1.77581i 0.0470812 0.0694396i
\(655\) −0.430722 + 0.199273i −0.0168297 + 0.00778626i
\(656\) −29.5264 6.49926i −1.15281 0.253753i
\(657\) −5.69911 10.7497i −0.222343 0.419384i
\(658\) 0.881238 0.530224i 0.0343543 0.0206703i
\(659\) 16.8350 + 7.78869i 0.655798 + 0.303404i 0.719426 0.694569i \(-0.244405\pi\)
−0.0636279 + 0.997974i \(0.520267\pi\)
\(660\) 1.26119 + 0.958731i 0.0490917 + 0.0373185i
\(661\) −4.30900 6.35530i −0.167601 0.247193i 0.734608 0.678491i \(-0.237366\pi\)
−0.902209 + 0.431299i \(0.858056\pi\)
\(662\) 2.18857 + 1.31682i 0.0850612 + 0.0511796i
\(663\) −0.0129084 + 0.238081i −0.000501320 + 0.00924630i
\(664\) 3.56408 + 1.20088i 0.138313 + 0.0466032i
\(665\) 5.02394 3.81910i 0.194820 0.148098i
\(666\) −0.693425 + 0.152634i −0.0268697 + 0.00591446i
\(667\) −3.77193 4.44066i −0.146050 0.171943i
\(668\) −21.3627 2.32334i −0.826549 0.0898927i
\(669\) 1.75211 6.31053i 0.0677405 0.243979i
\(670\) −0.206960 3.81716i −0.00799558 0.147470i
\(671\) −0.0510577 + 0.0963051i −0.00197106 + 0.00371782i
\(672\) −0.983488 + 1.15785i −0.0379389 + 0.0446651i
\(673\) −21.7868 + 20.6375i −0.839819 + 0.795518i −0.980907 0.194479i \(-0.937699\pi\)
0.141088 + 0.989997i \(0.454940\pi\)
\(674\) 1.47933 + 3.71284i 0.0569817 + 0.143013i
\(675\) −1.07703 + 2.70313i −0.0414548 + 0.104044i
\(676\) −18.5920 17.6113i −0.715078 0.677358i
\(677\) −11.3379 + 1.23307i −0.435752 + 0.0473908i −0.323366 0.946274i \(-0.604815\pi\)
−0.112385 + 0.993665i \(0.535849\pi\)
\(678\) −0.188576 + 1.15026i −0.00724223 + 0.0441756i
\(679\) 0.694211 4.23450i 0.0266414 0.162505i
\(680\) −0.999446 + 0.108696i −0.0383270 + 0.00416831i
\(681\) 12.1639 + 11.5223i 0.466121 + 0.441534i
\(682\) −0.101960 + 0.255901i −0.00390426 + 0.00979897i
\(683\) 5.20354 + 13.0599i 0.199108 + 0.499724i 0.994298 0.106637i \(-0.0340082\pi\)
−0.795190 + 0.606360i \(0.792629\pi\)
\(684\) 3.04314 2.88262i 0.116357 0.110220i
\(685\) 25.1409 29.5982i 0.960584 1.13089i
\(686\) 0.770615 1.45353i 0.0294222 0.0554962i
\(687\) −0.434808 8.01957i −0.0165890 0.305966i
\(688\) 9.37106 33.7515i 0.357268 1.28676i
\(689\) −2.73738 0.297708i −0.104286 0.0113418i
\(690\) −1.44699 1.70352i −0.0550858 0.0648521i
\(691\) −15.9832 + 3.51818i −0.608031 + 0.133838i −0.508305 0.861177i \(-0.669728\pi\)
−0.0997263 + 0.995015i \(0.531797\pi\)
\(692\) 11.3495 8.62766i 0.431443 0.327975i
\(693\) 0.285754 + 0.0962817i 0.0108549 + 0.00365744i
\(694\) 0.221191 4.07964i 0.00839631 0.154861i
\(695\) −48.6283 29.2587i −1.84458 1.10985i
\(696\) 0.237165 + 0.349793i 0.00898973 + 0.0132589i
\(697\) −4.58667 3.48669i −0.173732 0.132068i
\(698\) 2.22255 + 1.02826i 0.0841247 + 0.0389202i
\(699\) −3.88106 + 2.33515i −0.146795 + 0.0883236i
\(700\) −2.87642 5.42550i −0.108718 0.205065i
\(701\) −25.8290 5.68540i −0.975550 0.214735i −0.301537 0.953454i \(-0.597500\pi\)
−0.674013 + 0.738720i \(0.735431\pi\)
\(702\) 0.0348961 0.0161447i 0.00131707 0.000609341i
\(703\) −6.99446 + 10.3160i −0.263801 + 0.389077i
\(704\) −2.05801 + 0.693425i −0.0775643 + 0.0261345i
\(705\) 6.05358 + 21.8030i 0.227991 + 0.821150i
\(706\) 0.636942 + 3.88517i 0.0239716 + 0.146220i
\(707\) 1.75204 0.0658921
\(708\) −5.17977 + 14.3446i −0.194668 + 0.539105i
\(709\) 23.1625 0.869887 0.434943 0.900458i \(-0.356768\pi\)
0.434943 + 0.900458i \(0.356768\pi\)
\(710\) −0.311841 1.90214i −0.0117032 0.0713862i
\(711\) −2.62025 9.43729i −0.0982671 0.353926i
\(712\) −0.941496 + 0.317227i −0.0352840 + 0.0118886i
\(713\) −29.9407 + 44.1593i −1.12129 + 1.65378i
\(714\) −0.0865193 + 0.0400281i −0.00323790 + 0.00149801i
\(715\) 0.249127 + 0.0548370i 0.00931683 + 0.00205079i
\(716\) −0.558042 1.05258i −0.0208550 0.0393367i
\(717\) −22.7402 + 13.6823i −0.849250 + 0.510977i
\(718\) −3.58441 1.65832i −0.133769 0.0618881i
\(719\) −42.1779 32.0628i −1.57297 1.19574i −0.880221 0.474564i \(-0.842606\pi\)
−0.692750 0.721177i \(-0.743601\pi\)
\(720\) −6.17657 9.10977i −0.230187 0.339501i
\(721\) 6.19805 + 3.72925i 0.230828 + 0.138884i
\(722\) 0.0946908 1.74647i 0.00352403 0.0649969i
\(723\) −15.4872 5.21824i −0.575975 0.194069i
\(724\) 1.40851 1.07072i 0.0523469 0.0397931i
\(725\) −2.50558 + 0.551519i −0.0930548 + 0.0204829i
\(726\) 0.850168 + 1.00089i 0.0315527 + 0.0371467i
\(727\) 5.21767 + 0.567455i 0.193513 + 0.0210458i 0.204362 0.978895i \(-0.434488\pi\)
−0.0108495 + 0.999941i \(0.503454\pi\)
\(728\) −0.0435751 + 0.156943i −0.00161500 + 0.00581670i
\(729\) 0.0541389 + 0.998533i 0.00200514 + 0.0369827i
\(730\) 1.92765 3.63593i 0.0713454 0.134572i
\(731\) 4.32146 5.08762i 0.159835 0.188172i
\(732\) 0.553851 0.524635i 0.0204709 0.0193911i
\(733\) 3.53921 + 8.88276i 0.130724 + 0.328092i 0.979740 0.200275i \(-0.0641837\pi\)
−0.849016 + 0.528367i \(0.822804\pi\)
\(734\) −0.435226 + 1.09233i −0.0160645 + 0.0403188i
\(735\) 11.9860 + 11.3538i 0.442111 + 0.418790i
\(736\) 9.38957 1.02118i 0.346104 0.0376411i
\(737\) 0.518732 3.16413i 0.0191077 0.116552i
\(738\) −0.150313 + 0.916867i −0.00553309 + 0.0337503i
\(739\) −20.5462 + 2.23453i −0.755803 + 0.0821985i −0.477904 0.878412i \(-0.658603\pi\)
−0.277899 + 0.960610i \(0.589638\pi\)
\(740\) 23.9348 + 22.6723i 0.879862 + 0.833449i
\(741\) 0.249822 0.627007i 0.00917745 0.0230337i
\(742\) −0.407493 1.02273i −0.0149595 0.0375456i
\(743\) 0.952158 0.901932i 0.0349313 0.0330887i −0.670035 0.742330i \(-0.733721\pi\)
0.704966 + 0.709241i \(0.250962\pi\)
\(744\) 2.50531 2.94948i 0.0918493 0.108133i
\(745\) 13.3685 25.2156i 0.489783 0.923829i
\(746\) −0.0762737 1.40679i −0.00279258 0.0515061i
\(747\) −2.09915 + 7.56046i −0.0768039 + 0.276623i
\(748\) −0.417624 0.0454194i −0.0152699 0.00166070i
\(749\) 11.9384 + 14.0549i 0.436218 + 0.513556i
\(750\) 0.690454 0.151980i 0.0252118 0.00554954i
\(751\) 25.7227 19.5539i 0.938636 0.713532i −0.0195109 0.999810i \(-0.506211\pi\)
0.958147 + 0.286277i \(0.0924178\pi\)
\(752\) −29.8378 10.0535i −1.08807 0.366614i
\(753\) −0.680721 + 12.5552i −0.0248069 + 0.457536i
\(754\) 0.0290484 + 0.0174778i 0.00105788 + 0.000636505i
\(755\) 11.1380 + 16.4273i 0.405352 + 0.597849i
\(756\) −1.68008 1.27716i −0.0611038 0.0464499i
\(757\) 16.6582 + 7.70690i 0.605453 + 0.280112i 0.698569 0.715543i \(-0.253821\pi\)
−0.0931161 + 0.995655i \(0.529683\pi\)
\(758\) 2.27892 1.37118i 0.0827742 0.0498036i
\(759\) −0.878134 1.65634i −0.0318743 0.0601212i
\(760\) 2.77935 + 0.611782i 0.100818 + 0.0221917i
\(761\) −31.6172 + 14.6277i −1.14612 + 0.530252i −0.898660 0.438645i \(-0.855458\pi\)
−0.247462 + 0.968898i \(0.579596\pi\)
\(762\) 0.944222 1.39262i 0.0342055 0.0504494i
\(763\) −17.9692 + 6.05451i −0.650527 + 0.219188i
\(764\) −10.2005 36.7389i −0.369042 1.32917i
\(765\) −0.339327 2.06980i −0.0122684 0.0748339i
\(766\) 1.22481 0.0442542
\(767\) 0.212889 + 2.44650i 0.00768696 + 0.0883379i
\(768\) 14.8554 0.536049
\(769\) −5.79834 35.3683i −0.209094 1.27541i −0.857645 0.514243i \(-0.828073\pi\)
0.648551 0.761171i \(-0.275375\pi\)
\(770\) 0.0272856 + 0.0982737i 0.000983304 + 0.00354154i
\(771\) 1.64132 0.553024i 0.0591106 0.0199167i